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Finding the Fourth Proportional to 546.36, 752.72 and 448.75

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Solution

The fourth proportional to 546.36, 752.72 and 448.75 is: 618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.36 : 752.72 = 448.75 : x
  2. Step 2: Convert to fraction form
    546.36/752.72 = 448.75/x
  3. Step 3: Cross multiply
    546.36x = 752.72 × 448.75
  4. Step 4: Simplify right side
    546.36x = 337,783.10
  5. Step 5: Solve for x
    x = 337,783.10/546.36
  6. Step 6: Final answer
    x = 618.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.